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## Statistics and probability

### Course: Statistics and probability>Unit 2

Lesson 1: Displaying quantitative data with graphs

# Stem and leaf plots review

## Stem and leaf plots

A stem and leaf plot displays numerical data by splitting each data point into a "leaf" (usually the last digit) and a "stem" (the leading digit or digits).
For example, the buyer for a chain of department stores counted the number of pairs of boots at each of the stores and made a stem and leaf plot for the data. Here is the dataset and the stem and leaf plot:
Dataset: $17$, $18$, $20$, $25$, $28$, $34$, $34$, $37$, $38$, $50$
Stem and leaf plot:

Key: represents a store that had $18$ pairs of boots.

## Creating a stem and leaf plot

Here's how to make a stem and leaf plot step by step. We'll use the same dataset as before. Here it is again:
$17$, $18$, $20$, $25$, $28$, $34$, $34$, $37$, $38$, $50$
Step 1: Split each data point into a stem and a leaf. The stem is everything before the final digit, and the leaf is the final digit. Write the stems in a vertical column and don't skip stems just because they don't have any data.
$1|7$, $1|8$, $2|0$, $2|5$, $2|8$, $3|4$, $3|4$, $3|7$, $3|8$, $5|0$
Our $\text{stems}$ are the tens digits:

Step 2: Write each leaf next to its corresponding stem. The $\text{leaves}$ should go from smallest to largest. Our leaves are the ones digits.
$1|7$, $1|8$, $2|0$, $2|5$, $2|8$, $3|4$, $3|4$, $3|7$, $3|8$, $5|0$

Step 3: Give a key that explains what a stem and leaf represent.

Key: represents a store that had $18$ pairs of boots.
Key: represents a zoo that has $18$ bears.
How many of the zoos have exactly $26$ bears?